Siberian Federal University 
- Issue
- Journal of Siberian Federal University. Mathematics & Physics. 2020 13 (6)
- Authors
- Karepova, Evgenia D.; Adaev, Iliya R.; Shan’ko, Yury V.
- Contact information
- Karepova, Evgenia D.: Institute of computational modeling of SB RAS Krasnoyarsk, Russian Federation; ; OCRID: 0000-0002-6515-2932; Adaev, Iliya R.: Institute of computational modeling of SB RAS Krasnoyarsk, Russian Federation Siberian; Federal University Krasnoyarsk, Russian Federation; ; OCRID: 0000-0002-5670-3747; Shan’ko, Yury V.: Institute of computational modeling of SB RAS Krasnoyarsk, Russian Federation; ; OCRID: 0000-0003-2796-4363
- Keywords
- linear multistep method; symmetric method; St¨ormer-Cowell method; PECE scheme; orbit
- Abstract
Stability of high-order linear multistep St¨ormer-Cowell and symmetric methods are discussed in detail in this paper. Efficient algorithms for obtaining intervals of absolute stability and periodicity are given for these methods. To demonstrate the accuracy of numerical integration of the orbit over an interval about one year two model problems are considered. First problem is the 3D Kepler problem. Second one is a specially designed 3D model problem that has the exact solution and simulates the Earth-Moon-satellite system
- Pages
- 781–791
- DOI
- 10.17516/1997-1397-2020-13-6-781-791
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/137557
Journal of Siberian Federal University. Mathematics & Physics / Accuracy of Symmetric Multi-Step Methods for the Numerical Modelling of Satellite Motion
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